Proceedings of the American Mathematical Society · 1974 · 548 citations · 14 references
ComputingComputer ScienceTopologyApproximation AlgorithmsConvergence AnalysisConvex AnalysisConvex OptimizationFixed Point TheoryFixed PointsBanach Fixed Point TheoremContinuous MappingsFixed Point FormulationsFixed Point PropertyFixed-point ConvergenceNonexpansive Mappings
A condition is given for nonexpansive mappings which assures convergence of certain iterates to a fixed point of the mapping in a uniformly convex Banach space. A relationship between the given condition and the requirement of demicompactness is established.
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Mean value methods in iteration
W. Robert Mann · Proceedings of the American Mathematical Society · 1953 · 2.3K citations
Some Remarks Concerning Contraction Mappings
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Some Results on Fixed Points—II
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